What will be the probable value of mean deviation? when 3 Q =40 and 1 ...
Calculating the Mean Deviation
To calculate the mean deviation, we first need to find the mean of the given data set. The mean is the average of all the values. In this case, we have two values: 3Q and Q.
Given:
3Q = 40
Q = 15
Step 1: Find the Mean
To find the mean, we add all the values and divide by the total number of values.
Mean = (3Q + Q) / 2
Substituting the given values:
Mean = (3 * 15 + 15) / 2
Mean = (45 + 15) / 2
Mean = 60 / 2
Mean = 30
Step 2: Calculate the Deviation
Next, we need to calculate the deviation for each value. Deviation is the difference between each value and the mean.
Deviation for 3Q = |3Q - Mean|
Deviation for Q = |Q - Mean|
Substituting the given values:
Deviation for 3Q = |3 * 15 - 30| = |45 - 30| = 15
Deviation for Q = |15 - 30| = |-15| = 15
Step 3: Find the Mean Deviation
The mean deviation is the average of all the deviations. To find it, we add up all the deviations and divide by the total number of values.
Mean Deviation = (Deviation for 3Q + Deviation for Q) / 2
Substituting the calculated deviations:
Mean Deviation = (15 + 15) / 2
Mean Deviation = 30 / 2
Mean Deviation = 15
Conclusion:
Therefore, the probable value of the mean deviation is 15.00 (c) as calculated in the above steps.